Width of the rectangle is 9 units
Step-by-step explanation:
- Step 1: Let the width of the rectangle be x. Then the length = x - 3. Find dimensions of the rectangle if its area = 54 sq. units
Area of the rectangle = length × width
54 = x (x - 3)
54 = x² - 3x
x² - 3x - 54 = 0
x² + 6x - 9x - 54 = 0 (Using Product Sum rule to factorize)
x(x + 6) - 9(x + 6) = 0
(x + 6)(x - 9) = 0
x = -6, 9 (negative value is neglected)
x = 9 units
The conversion of feet to meters is obtained by multiplying 1 foot = 0.3048 meters.
<h3>What are the basic measurements for length?</h3>
Foot, inches, centimeters, and meters are the basic measuring units for length.
<h3>What are the basic conversions?</h3>
The basic conversions are:
1 kilometer = 1000 meters
1 meter = 100 cm
1 cm = 10 mm
1 mm = 0.03937 inch
1 inch = 0.0833 feet.
<h3>How to convert feet to meters?</h3>
According to the international system of units,
1 foot = 12 inches ...(1)
But we know,
1 inch = 25.4 mm, 1 mm = 0.1 cm, and 1 cm = 0.01 m
By substituting all of these in equation (1), we get
1 foot = 12(25.4 mm)
= 304.8 mm
= 304.8 (0.1 cm)
= 30.48 cm
= 30.48(0.01 m)
= 0.3048 meters
Therefore, 1 foot = 0.3048 meters.
Learn more about converting measuring units here:
brainly.com/question/174910
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We know that
sin²x+cos²x=1
so
clear cos x
cos x=(+/-)√[1-sin²x]
in this problem
<span>Angle 0 is in quadrant 1 -----> cos o and sin o are positive
</span>sin o=2/5
cos x=√[1-(2/5)²]----> cos o=√[1-4/25]----> cos o=√[21/25]---> cos o=√21/5
the answer is
cos o=√21/5
Answer:
15 meters
Step-by-step explanation:
One side is 2.5 meters, so if they're all the same then you would multiply that by 6
Answer:
x=3. y=6
Step-by-step explanation:
So, to solve x and y, we need to take the equivelent sides of the two triangles, take their equations, and solve them.
So to find what x equals, we can take the 13, and make it equal to the 4x+1:
13=4x+1
Subtract the one from both sides:
12=4x
Divide both sides by 4:
3=x
Or
<u>x=3</u>
So we know the x value is 3.
Now lets solve for y using the bottom equations:
2x+y=8x-2y
Subtract 1y from both sides:
2x=8x-3y
Subtract 8x from both sides:
-6x=-3y
Divide both sides by -6:
x=1/2y
So we already know that x=3, lets plug that in for x, and solve for y:
3=1/2y
Or
1/2y=3
Multiply both sides by 2 to get 1y:
<u>y=6</u>
So we know that y is equal to 6.
Hope this helps!
